Dark-field: A new kind of x-ray imaging. This project aims to develop new x-ray imaging capabilities that look inside an object and map out those details that are too small to be seen directly, by extracting the dark-field which is produced as x-ray light scatters. Dark-field images can reveal tiny cracks in manufactured parts, discover powdered explosives or drugs during security screening, and detect changes in the size of the many tiny air sacs in the lungs. Expected outcomes of this project ....Dark-field: A new kind of x-ray imaging. This project aims to develop new x-ray imaging capabilities that look inside an object and map out those details that are too small to be seen directly, by extracting the dark-field which is produced as x-ray light scatters. Dark-field images can reveal tiny cracks in manufactured parts, discover powdered explosives or drugs during security screening, and detect changes in the size of the many tiny air sacs in the lungs. Expected outcomes of this project include new instruments and methods of analysis that will allow x-ray dark-field imaging to be quantitative and widely adopted. These methods should benefit non-invasive multi-scale imaging at the Australian Synchrotron and equip x-ray imaging in industry, security and healthcare.Read moreRead less
Dynamic multi-modal x-ray imaging. This project aims to create sensitive new methods of x-ray imaging that capture multiple image modalities with a single snapshot. Conventional x-ray imaging is widely used in a range of industries, but captures only a fraction of the rich information that is available in the x-ray wavefield. This project expects to extract additional image modalities to reveal x-ray-transparent features, and detect microscopic textures. By combining these capabilities with the ....Dynamic multi-modal x-ray imaging. This project aims to create sensitive new methods of x-ray imaging that capture multiple image modalities with a single snapshot. Conventional x-ray imaging is widely used in a range of industries, but captures only a fraction of the rich information that is available in the x-ray wavefield. This project expects to extract additional image modalities to reveal x-ray-transparent features, and detect microscopic textures. By combining these capabilities with the ability to capture images of a moving sample, this project will enable innovative biomedical and materials research studies, and develop new imaging technologies for use in security, hospitals and manufacturing. New methods of x-ray imaging will have wide-ranging benefits for society, the economy and healthcare.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE210101264
Funder
Australian Research Council
Funding Amount
$342,346.00
Summary
Toroidal quantum groups, integrable models and applications. Modelling systems of quantum and classical mechanics usually relies on computationally expensive numerical methods. Such methods typically provide raw answers and give little insight. In contrast, a special class of modelling based on quantum integrability provides us with a variety of analytic tools thanks to connections with algebra, geometry and combinatorics. The project aims to study quantum integrability with the help of new exci ....Toroidal quantum groups, integrable models and applications. Modelling systems of quantum and classical mechanics usually relies on computationally expensive numerical methods. Such methods typically provide raw answers and give little insight. In contrast, a special class of modelling based on quantum integrability provides us with a variety of analytic tools thanks to connections with algebra, geometry and combinatorics. The project aims to study quantum integrability with the help of new exciting developments in toroidal quantum groups. The anticipated outcomes include constructions of new models, developing analytic methods and computer algebra packages. These results are expected to facilitate challenging computational problems in modelling of quantum and classical systems.Read moreRead less
Solvability and universality in stochastic processes. Exactly solvable stochastic processes are an important area of mathematical research, with cross-disciplinary links to quantum physics, quantum algebras and probability theory. These processes can be used to model a variety of real-world phenomena such as crystal growth and polymers in random media. This project aims to significantly expand our knowledge of exactly solvable stochastic processes by extending them to new algebraic frameworks. A ....Solvability and universality in stochastic processes. Exactly solvable stochastic processes are an important area of mathematical research, with cross-disciplinary links to quantum physics, quantum algebras and probability theory. These processes can be used to model a variety of real-world phenomena such as crystal growth and polymers in random media. This project aims to significantly expand our knowledge of exactly solvable stochastic processes by extending them to new algebraic frameworks. Among the outcomes of the project, we expect to identify new probabilistic structures which go beyond the famous Gaussian universality class. These theoretical developments allow better prediction of randomly growing interfaces, which encompass a range of phenomena from tumour growth to forest fires.Read moreRead less
Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques t ....Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques to solve challenging research problems in mathematical physics and statistical mechanics, (ii) practical and computationally feasible constructions of shuffle algebras using vertex models, (iii) solutions to unresolved spectral problems of open quantum systems.Read moreRead less
Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and no ....Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and non-symmetric polynomials in symbolic algebra packages by developing completely new algorithms. New understanding from the project is expected to facilitate challenging computational problems of measurable quantities in quantum systems.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE200101061
Funder
Australian Research Council
Funding Amount
$424,848.00
Summary
Single particle imaging: x-ray imaging of individual dynamic biomolecules. X-ray lasers produce powerful ultra-short pulses of light that can take temporal snap shots of small radiation-sensitive biological complexes. Thanks to superconducting technology, the next generation of x-ray lasers will be able to produce x-ray pulses at greater rates than ever before. But because of the sheer number of possible molecular configurations, these molecular movies will have only a small amount of data per f ....Single particle imaging: x-ray imaging of individual dynamic biomolecules. X-ray lasers produce powerful ultra-short pulses of light that can take temporal snap shots of small radiation-sensitive biological complexes. Thanks to superconducting technology, the next generation of x-ray lasers will be able to produce x-ray pulses at greater rates than ever before. But because of the sheer number of possible molecular configurations, these molecular movies will have only a small amount of data per frame, posing an enormous challenge for current imaging methods. I aim to meet this challenge by developing an innovative multi-conformational image reconstruction algorithm. This will provide a new window into the molecular dynamics of biological systems, the building blocks of life, and enable rational drug design.Read moreRead less
Probing nanoscale disorder in 3D with x-ray free-electron lasers. This project aims to reveal the 3D nanostructure of disordered matter with x-rays for the first time. Existing x-ray scattering techniques for disordered structures currently provide limited, one-dimensional information only. The expected outcomes of the project include an enhanced new capability for the Australian Synchrotron and international x-ray laser facilities, and new insights into the microscopic origins of the properties ....Probing nanoscale disorder in 3D with x-ray free-electron lasers. This project aims to reveal the 3D nanostructure of disordered matter with x-rays for the first time. Existing x-ray scattering techniques for disordered structures currently provide limited, one-dimensional information only. The expected outcomes of the project include an enhanced new capability for the Australian Synchrotron and international x-ray laser facilities, and new insights into the microscopic origins of the properties of liquids and biological membranes. This should benefit research areas that use x-ray scattering to probe the nanostructure of materials for diverse applications such as nanotechnology, fuel cells and drug design.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE220101402
Funder
Australian Research Council
Funding Amount
$415,000.00
Summary
Multi-scale, multi-modal X-ray imaging using speckle. This project aims to develop new X-ray imaging methods that capture multiple next-generation image modalities at an unprecedented range of length and time scales. While conventional X-ray imaging is routinely used in medicine and industry, it can only visualise high-density materials like bone. To reveal low-density objects like biological soft tissue and microstructure like tiny cracks, the project plans to extract two complementary image mo ....Multi-scale, multi-modal X-ray imaging using speckle. This project aims to develop new X-ray imaging methods that capture multiple next-generation image modalities at an unprecedented range of length and time scales. While conventional X-ray imaging is routinely used in medicine and industry, it can only visualise high-density materials like bone. To reveal low-density objects like biological soft tissue and microstructure like tiny cracks, the project plans to extract two complementary image modalities using a robust setup that does not rely on large-scale facilities. Significant benefits from the developed methods are expected for leading-edge research in fields including biomedicine, materials science and palaeontology, and industries such as security, medical diagnostics and manufacturing.Read moreRead less
Unifying discrete and continuous methods in quantum information theory. This project aims to address a critical gap in quantum information theory by unifying the way that both discrete and continuous quantum systems are represented in mathematical models. This project expects to generate new knowledge in quantum information science by using cutting-edge mathematical tools and insights from signal processing theory. Expected outcomes of this project include a new mathematical framework for use in ....Unifying discrete and continuous methods in quantum information theory. This project aims to address a critical gap in quantum information theory by unifying the way that both discrete and continuous quantum systems are represented in mathematical models. This project expects to generate new knowledge in quantum information science by using cutting-edge mathematical tools and insights from signal processing theory. Expected outcomes of this project include a new mathematical framework for use in quantum science and technology development. This should provide significant benefits, such as new ways to efficiently simulate certain quantum processes on ordinary computers and novel approaches to handling noise in quantum computers.Read moreRead less